A
stringlengths
4
41
B
stringlengths
4
41
E
int64
0
1
H1
int64
0
1
H2
int64
0
1
H3
int64
0
1
label
stringclasses
2 values
~(((c&c)|c))
(c&((c>(c&~(c)))>c))
0
0
1
0
not entailment
~((c|c))
~(((c|c)|(c&c)))
1
0
1
1
entailment
(c|c)
((~(c)>c)&((c&c)&c))
1
0
1
1
entailment
~((c|c))
((~(c)>c)&((c&c)&c))
0
0
1
0
not entailment
(c|c)
~(((c|c)|(c&c)))
0
0
1
0
not entailment
~((((c>c)>c)|((c&~(c))|~((c>c)))))
~((c|c))
1
1
1
1
entailment
~(((c|c)>(~(c)&c)))
((c&c)|c)
1
1
1
1
entailment
~((((c>c)>c)|((c&~(c))|~((c>c)))))
((c&c)|c)
0
1
1
1
not entailment
~(((c|c)>(~(c)&c)))
~((c|c))
0
1
1
1
not entailment
~(~(~(c)))
~((((c>c)|c)>c))
1
0
1
0
entailment
(c|(c&c))
((((c>c)>c)|~(c))&(c&(c|c)))
1
0
1
0
entailment
~(~(~(c)))
((((c>c)>c)|~(c))&(c&(c|c)))
0
0
1
0
not entailment
(c|(c&c))
~((((c>c)|c)>c))
0
0
1
0
not entailment
(~(c)&(c>(c|(c>c))))
~((c|(c|c)))
1
1
1
1
entailment
(c&((~(c)>c)|~(~((((c>c)|c)&~(c))))))
(~((c|(c|c)))>(c|((c|c)|c)))
1
1
1
1
entailment
(~(c)&(c>(c|(c>c))))
(~((c|(c|c)))>(c|((c|c)|c)))
0
0
1
1
not entailment
(c&((~(c)>c)|~(~((((c>c)|c)&~(c))))))
~((c|(c|c)))
0
1
1
1
not entailment
(~(i)&b)
~(~(~(~(b))))
1
0
1
1
entailment
(~((b&e))&(~((y&(e|y)))&(d>(y>i))))
(~((y>(r&(p|b))))>~((b&(~(l)&y))))
1
1
0
0
entailment
(~(i)&b)
(~((y>(r&(p|b))))>~((b&(~(l)&y))))
0
0
0
0
not entailment
(~((b&e))&(~((y&(e|y)))&(d>(y>i))))
~(~(~(~(b))))
0
1
1
0
not entailment
~((b>(~(i)>l)))
(y|((~(e)>e)|~((l&k))))
1
0
0
0
entailment
((r>p)>(k&r))
((((b|l)|(~(r)|e))>(l|r))|(y|(e&l)))
1
0
0
0
entailment
~((b>(~(i)>l)))
((((b|l)|(~(r)|e))>(l|r))|(y|(e&l)))
0
0
0
0
not entailment
((r>p)>(k&r))
(y|((~(e)>e)|~((l&k))))
0
0
0
0
not entailment
(~((r|l))&k)
(r>~(~((l|i))))
1
0
0
0
entailment
(((e|b)&(e&(k&b)))&(i>k))
(y|(~(((i>((d|(e|d))>b))|l))>b))
1
0
0
0
entailment
(~((r|l))&k)
(y|(~(((i>((d|(e|d))>b))|l))>b))
0
0
0
0
not entailment
(((e|b)&(e&(k&b)))&(i>k))
(r>~(~((l|i))))
0
1
0
0
not entailment
((r|~(((i>i)|(~(l)>b))))&(~(~(l))>e))
(l>e)
1
1
1
1
entailment
(~((b&y))&b)
(b|~((d|~(~(~(l))))))
1
0
0
0
entailment
((r|~(((i>i)|(~(l)>b))))&(~(~(l))>e))
(b|~((d|~(~(~(l))))))
0
1
0
0
not entailment
(~((b&y))&b)
(l>e)
0
1
0
0
not entailment
~((l|(~(r)|(b|((((k&y)|r)&y)>~(r))))))
(((((~(e)|b)|(y&(k>i)))>b)|~((r|i)))>y)
1
1
0
0
entailment
(k&~((l>((l>d)|p))))
(l&l)
1
1
1
1
entailment
~((l|(~(r)|(b|((((k&y)|r)&y)>~(r))))))
(l&l)
0
1
1
0
not entailment
(k&~((l>((l>d)|p))))
(((((~(e)|b)|(y&(k>i)))>b)|~((r|i)))>y)
0
0
0
0
not entailment
(y&((i>(y>~((l&i))))&(r&b)))
(y|(((~(b)>y)>((r&k)|e))&~(b)))
1
0
0
0
entailment
(l&r)
((~(e)>(l|(k|i)))|e)
1
0
0
0
entailment
(y&((i>(y>~((l&i))))&(r&b)))
((~(e)>(l|(k|i)))|e)
0
1
0
0
not entailment
(l&r)
(y|(((~(b)>y)>((r&k)|e))&~(b)))
0
0
0
0
not entailment
(((r|(p&r))&(((r>y)>e)>p))&i)
((~((d|p))|(r|r))>r)
1
1
0
0
entailment
(b&(y&e))
(~(((y&e)&l))>(b|(p>y)))
1
0
0
0
entailment
(((r|(p&r))&(((r>y)>e)>p))&i)
(~(((y&e)&l))>(b|(p>y)))
0
1
0
0
not entailment
(b&(y&e))
((~((d|p))|(r|r))>r)
0
0
0
0
not entailment
((~(e)|(r>e))>(r&(l|p)))
(((~((l|p))&y)|(y&b))|(~(p)|r))
1
0
0
0
entailment
(d&(p|e))
((~(i)|(i>i))&(d|(~(l)>k)))
1
0
0
0
entailment
((~(e)|(r>e))>(r&(l|p)))
((~(i)|(i>i))&(d|(~(l)>k)))
0
0
0
0
not entailment
(d&(p|e))
(((~((l|p))&y)|(y&b))|(~(p)|r))
0
0
0
0
not entailment
((p|d)&(i&~(r)))
(~((~((~(~(p))|~(p)))|r))|p)
1
0
1
0
entailment
(((k&((l>e)&(b|i)))|y)&(((y|r)>i)&r))
(l>r)
1
1
1
1
entailment
((p|d)&(i&~(r)))
(l>r)
0
1
0
0
not entailment
(((k&((l>e)&(b|i)))|y)&(((y|r)>i)&r))
(~((~((~(~(p))|~(p)))|r))|p)
0
1
0
0
not entailment
(d&e)
(b>(e|l))
1
0
0
0
entailment
~((p|(d|~(((r|~(~(k)))|(l&~(k)))))))
(l|~((~(~(p))&(~(y)>(p&b)))))
1
1
0
0
entailment
(d&e)
(l|~((~(~(p))&(~(y)>(p&b)))))
0
0
0
0
not entailment
~((p|(d|~(((r|~(~(k)))|(l&~(k)))))))
(b>(e|l))
0
1
0
0
not entailment
~((k>(p|b)))
(((r|~((b>r)))&(e>y))>((y|l)>(p>r)))
1
0
0
0
entailment
(b|~(~(d)))
((b|i)|d)
1
1
0
0
entailment
~((k>(p|b)))
((b|i)|d)
0
1
0
0
not entailment
(b|~(~(d)))
(((r|~((b>r)))&(e>y))>((y|l)>(p>r)))
0
0
0
0
not entailment
~((((y>(e&l))>(b|(l|b)))|l))
(y>(y&k))
1
1
0
0
entailment
(y&(((k&b)>k)&e))
(((k&(d>r))&~(r))|(y|~((k&~(~(e))))))
1
0
0
0
entailment
~((((y>(e&l))>(b|(l|b)))|l))
(((k&(d>r))&~(r))|(y|~((k&~(~(e))))))
0
0
0
0
not entailment
(y&(((k&b)>k)&e))
(y>(y&k))
0
1
1
0
not entailment
~(((l&e)>~((y>~(l)))))
((d|(((k&r)&d)>d))>(((e&d)>l)|(y&d)))
1
0
0
0
entailment
((l|r)>~(e))
(b>((e>~(l))|~((r&(((y|k)|p)|(r>k))))))
1
0
0
0
entailment
~(((l&e)>~((y>~(l)))))
(b>((e>~(l))|~((r&(((y|k)|p)|(r>k))))))
0
0
0
0
not entailment
((l|r)>~(e))
((d|(((k&r)&d)>d))>(((e&d)>l)|(y&d)))
0
0
0
0
not entailment
~(((~(d)&b)>k))
(~(~(d))>p)
1
1
0
0
entailment
(((d&l)&(~(l)&r))|((r&(((b|i)|d)&k))&r))
(p|(y|r))
1
1
0
0
entailment
~(((~(d)&b)>k))
(p|(y|r))
0
1
0
0
not entailment
(((d&l)&(~(l)&r))|((r&(((b|i)|d)&k))&r))
(~(~(d))>p)
0
1
0
0
not entailment
~((((l|(d|d))|~(y))|~((r>((p&k)>r)))))
((~(l)|(p&p))|p)
1
1
1
0
entailment
((l&d)&~((b&p)))
(l&l)
1
1
1
1
entailment
~((((l|(d|d))|~(y))|~((r>((p&k)>r)))))
(l&l)
0
1
1
0
not entailment
((l&d)&~((b&p)))
((~(l)|(p&p))|p)
0
1
1
0
not entailment
((d&b)>~(~(~((k>r)))))
(~(r)|((p&(d&b))>(k|(i&(r|r)))))
1
0
0
0
entailment
((d>b)&b)
(~(~(e))|b)
1
0
0
0
entailment
((d&b)>~(~(~((k>r)))))
(~(~(e))|b)
0
1
0
0
not entailment
((d>b)&b)
(~(r)|((p&(d&b))>(k|(i&(r|r)))))
0
0
0
0
not entailment
~((y>((y>b)&r)))
((y|e)|(d|(i|d)))
1
1
0
0
entailment
~(~((l&(b|p))))
(((e|i)&k)|((r|b)>l))
1
0
0
0
entailment
~((y>((y>b)&r)))
(((e|i)&k)|((r|b)>l))
0
0
0
0
not entailment
~(~((l&(b|p))))
((y|e)|(d|(i|d)))
0
1
0
0
not entailment
((~(~(d))&k)|i)
((d>(d&e))>((l|i)|k))
1
0
0
0
entailment
~(((~(e)>(i&(l&~(d))))>((r|(y&b))>p)))
(p>b)
1
1
1
1
entailment
((~(~(d))&k)|i)
(p>b)
0
1
0
0
not entailment
~(((~(e)>(i&(l&~(d))))>((r|(y&b))>p)))
((d>(d&e))>((l|i)|k))
0
1
0
0
not entailment
(y&e)
((((~(f)|l)>w)&~(e))>~((i|o)))
1
0
0
0
entailment
~(~(~(((i>r)|w))))
~(r)
1
1
1
1
entailment
(y&e)
~(r)
0
1
0
0
not entailment
~(~(~(((i>r)|w))))
((((~(f)|l)>w)&~(e))>~((i|o)))
0
0
0
0
not entailment
~(((o&~(((~(e)&t)>g)))>((l>r)|(l>r))))
((w|i)>(~(~(l))|e))
1
1
0
0
entailment
((g|((g|w)>~((f|(r&i)))))&r)
(y|((e|(~(r)>i))|((i|w)&~(((y>e)|i)))))
1
0
0
0
entailment
~(((o&~(((~(e)&t)>g)))>((l>r)|(l>r))))
(y|((e|(~(r)>i))|((i|w)&~(((y>e)|i)))))
0
1
0
0
not entailment
((g|((g|w)>~((f|(r&i)))))&r)
((w|i)>(~(~(l))|e))
0
1
0
0
not entailment
~(((i>~(w))>((g&(e&t))>w)))
((~((l|w))>o)|(r>e))
1
1
0
0
entailment
(~((f&i))&y)
(~(~(r))>(y|~(f)))
1
0
0
0
entailment
~(((i>~(w))>((g&(e&t))>w)))
(~(~(r))>(y|~(f)))
0
1
0
0
not entailment